BB23 hexadecimal to binary

Here we will show you how to convert the hexadecimal number BB23 to a binary number. First note that the hexadecimal number system has sixteen different digits (0 1 2 3 4 5 6 7 8 9 A B C D E F) and the binary number system has only two different digits (0 and 1).

The four steps used to convert BB23 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in BB23 by 16⁰, multiply the second to last digit in BB23 by 16¹, multiply the third to last digit in BB23 by 16², multiply the fourth to last digit in BB23 by 16³, and so on, until all the digits are used.

3 × 16⁰ = 3
2 × 16¹ = 32
B × 16² = 2816
B × 16³ = 45056

Remember that the hexadecimal number system has sixteen different digits, so when doing the above calculation, we use the following values if applicable: A=10, B=11, C=12, D=13, E=14, and F=15.

Step 2)
Next, we add up all the products we got from Step 1, like this:

3 + 32 + 2816 + 45056 = 47907

Step 3)
Now we divide the sum from Step 2 by 2. Put the remainder aside. Then divide the whole part by 2 again, and put the remainder aside again. Keep doing this until the whole part is 0.

47907 ÷ 2 = 23953 with 1 remainder
23953 ÷ 2 = 11976 with 1 remainder
11976 ÷ 2 = 5988 with 0 remainder
5988 ÷ 2 = 2994 with 0 remainder
2994 ÷ 2 = 1497 with 0 remainder
1497 ÷ 2 = 748 with 1 remainder
748 ÷ 2 = 374 with 0 remainder
374 ÷ 2 = 187 with 0 remainder
187 ÷ 2 = 93 with 1 remainder
93 ÷ 2 = 46 with 1 remainder
46 ÷ 2 = 23 with 0 remainder
23 ÷ 2 = 11 with 1 remainder
11 ÷ 2 = 5 with 1 remainder
5 ÷ 2 = 2 with 1 remainder
2 ÷ 2 = 1 with 0 remainder
1 ÷ 2 = 0 with 1 remainder

Step 4)
In the final step, we take the remainders from Step 3 and put them together in reverse order to get our answer to BB23 hexadecimal to binary:

BB23 hexadecimal = 1011101100100011 binary

Hexadecimal to Binary Converter
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